On two investments totaling $6,000, Kevin lost 3% on one and earned 6% on the other. If his net annual receipts were $288, how much was each investment?

Answers

Answer 1
Answer:

ANSWER:

$ 800 was invested in the account at 3%

$5200 was invested in the account at 6%

STEP-BY-STEP EXPLANATION:

We can establish the following system of equations thanks to the help of the statement:

Let x represent the amount invested in the investment that lost value

Let y represent the amount invested in the investment that gained

value.

\begin{gathered} x+y=6000\rightarrow y=6000-x\text{ (1)} \n -0.03x+0.06y=288\text{ (2)} \end{gathered}

We replace equation (1) in (2) and solve for x:

\begin{gathered} -0.03x+0.06\cdot(6000-x)=288 \n -0.03x+360-0.06x=288 \n -0.09x=288-360 \n x=(-72)/(-0.09) \n x=800 \n \text{ Now, for y replacing in (1)} \n y=6000-800=5200 \end{gathered}

Therefore, $ 800 was invested in the account the lost value, and $ 5200 was invested in the account that gained value.


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ATTEMPT 3 OF TRYING TO GET THIS ANSWERED PLEASE HELPIn this diagram, x || y || z and m<9 = 93°.
What is the measure of each angle?

Drag and drop the correct measurements by the arrows to
match each angle.
m<2 ——>
m<4——->
m<7——->

87° 89° 91° 93 °

Answers

Answer:

m<2 = 87

m<4 = 87

m<7 = 93

Step-by-step explanation:

Pls hep

Solve the inequality.

Answers

Answer:

y > 9

Step-by-step explanation:

Given inequality:

-6 > -(2)/(3)y

To solve the given inequality, we need to isolate y on one side of the equation.

Begin by multiplying both sides of the inequality by 3 to eliminate the fraction on the right side:

-6 \cdot 3 > -(2)/(3)y\cdot 3

-18 > -2y

Now, divide both sides of the inequality by -8 to isolate y. Remember to reverse the inequality sign, as we are dividing by a negative number.

(-18)/(-2) > (-2y)/(-2)

9 < y

Therefore, the solution is:

\Large\boxed{\boxed{y > 9}}

I enter the garden. There are 34 people. You hug 30. How many people are in the garden.

Answers

There are 34 people in the garden prior to the time I joined them.

So when I entered the garden, the total number of people in the garden will be:

  • 34 + 1 = 35 people

Let assume, you as the reader was part of the people in the garden and you hugged 30 people. That doesn't add up or increase the number of people in the garden.

At the end of the day, the number of people you did not hug is:

35 - 30 - 1(you)

= 35 - 31

= 4 people

Therefore, we can conclude that there are 35 peoplepresent in the garden.

Learn more about word problems here:

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Answer:

34

Step-by-step explanation:

I WILL MARK BRAINLIST

Answers

Answer:e and f

Step-by-step explanation:

The expression 52 - 4 of (17 - 12) + 4 × 7 is equal to
70
60
50
48

Answers

Answer:

The value of given expression 52 - 4 of (17 - 12) + 4 × 7 = 60

Step-by-step explanation:

Given expression;

52 - 4 of (17 - 12) + 4 × 7

Find:

The value of given expression 52 - 4 of (17 - 12) + 4 × 7

Computation:

52 - 4 of (17 - 12) + 4 × 7

Using BODMAS rule;

52 - 4 of (17 - 12) + 4 × 7

52 - 4(17 - 12) + 4 × 7

52 - 4(5) + 28

52 - 20 + 28

80 - 20

60

So,

The value of given expression 52 - 4 of (17 - 12) + 4 × 7 = 60

The LA dodgers hit the most home runs in 2014. The number of Home runs accounted for 6% of the entire major league baseball home run count. if the dodgers hit 35 home runs, then how many did the rest of the league hit?

Answers

Answer:

To answer the question, we will need to find the 6% (the home runs of the LA Dodgers) of 583 (the entire Major League Baseball home run count).

To do that, first we are going to divide 6% by 100% to convert it to a fraction and get rid of the percentage signs :

Now we can multiply our fraction by the entire Major League Baseball home run count to get the home runs of the Dodgers:

We can conclude that the LA Dodgers hit approximately 35 home runs.

Step-by-step explanation:

Yeet

Final answer:

The rest of the league hit approximately 583 home runs.

Explanation:

In order to determine the number of home runs hit by the rest of the league, we need to set up a proportion using the given information. Let 'x' represent the number of home runs hit by the rest of the league. We can set up the proportion as follows:



35/​x = 6/100



Cross-multiplying, we get 100 * 35 = 6 * ​x.



Simplifying, we have 3500 = 6 * ​x. Dividing both sides by 6, we find that x = 583.33. Rounding to the nearest whole number, the rest of the league hit approximately 583 home runs.

Learn more about proportion here:

brainly.com/question/34018947

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